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Finding the Fourth Proportional to 17,771.70, 24,524.79 and 9,813.99

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Solution

The fourth proportional to 17,771.70, 24,524.79 and 9,813.99 is: 13,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.70 : 24,524.79 = 9,813.99 : x
  2. Step 2: Convert to fraction form
    17,771.70/24,524.79 = 9,813.99/x
  3. Step 3: Cross multiply
    17,771.70x = 24,524.79 × 9,813.99
  4. Step 4: Simplify right side
    17,771.70x = 240,686,043.81
  5. Step 5: Solve for x
    x = 240,686,043.81/17,771.70
  6. Step 6: Final answer
    x = 13,543.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.